If you built a a sidewalk around a lion's den and it had a radius of 11 m on the outer edge of the sidewalk and a radius of 9 m and the inner edge of the sidewalk . write and simplify the expression for the exact area of the sidewalk, and find the approximate area of the sidewalk using 3.14 to approximate pi.

The inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. the front two wheels are six feet apart. what is the number of feet in the path traced by the inside front wheel in one trip around the circle? express your answer in the form "k \pi", where k is an integer.

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?

8.74 rounded to the nearest whole number